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Finding the Fourth Proportional to 9,643.44, 14,464.62 and 3,403.74

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Solution

The fourth proportional to 9,643.44, 14,464.62 and 3,403.74 is: 5,105.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,643.44 : 14,464.62 = 3,403.74 : x
  2. Step 2: Convert to fraction form
    9,643.44/14,464.62 = 3,403.74/x
  3. Step 3: Cross multiply
    9,643.44x = 14,464.62 × 3,403.74
  4. Step 4: Simplify right side
    9,643.44x = 49,233,805.68
  5. Step 5: Solve for x
    x = 49,233,805.68/9,643.44
  6. Step 6: Final answer
    x = 5,105.42

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.